Greatest Common Factor of 335/42, 412/95, 143/29

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 335/42, 412/95, 143/29

Enter two or more fractions separated by "commas"

Ex: 2/3, 5/7 or 3/5, 5/9, 7/3

GCF of:

Greatest Common Factor of 335/42,412/95,143/29

Given fractions are 335/42,412/95,143/29

Formula to find GCF of Fractions is

GCF = GCF of Numerators/LCM of Denominators

As per the formula GCF of Fractions let’s split into two parts and find the GCF of Numerators and LCM of Denominators

In the given fractions GCF of Numerators means GCF of 335,412,143

Greatest Common Factor of Numerators i.e. GCF of 335,412,143 is 1 .

LCM of Denominators means LCM of 42,95,29 as per the given fractions.

LCM of 42,95,29 is 115710 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 335,412,143

GCF of Fractions 335/42,412/95,143/29 is 1/115710

∴ So GCF of numbers is 1 because of no common factors present between them.

Greatest Common Factor of 335,412,143 By Matching Biggest Common Factor Method

Greatest Common Factor of 335,412,143 By Matching Biggest Common Factor Method

Factors of 335

List of positive integer factors of 335 that divides 335 without a remainder.

1,5,67,335

Factors of 412

List of positive integer factors of 412 that divides 412 without a remainder.

1,2,4,103,206,412

Factors of 143

List of positive integer factors of 143 that divides 143 without a remainder.

1,11,13,143

Greatest Common Factor

We found the factors 335,412,143 . The biggest common factor number is the GCF number.
So the greatest common factor 335,412,143 is 1.

Lets's calculate LCM of 42,95,29

Given numbers has no common factors except 1. So, there LCM is their product i.e 115710

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/115710

Therefore, the GCF of Fractions 335/42,412/95,143/29 is 1/115710

Least Common Multiple of 42,95,29 with GCF Formula

Least Common Multiple of 42,95,29 with GCF Formula

The formula of LCM is LCM(a1,a2,a3....,an) = ( a1 × a2 × a3 × .... × an) / GCF(a1,a2,a3....,an) x common factors(if more than 2 numbers have common factors).

We need to calculate greatest common factor of 42,95,29 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(42,95,29) = 1

common factors(in case of two or more numbers have common factors) = 1

GCF(42,95,29) x common factors =1 x 1 = 1

LCM(42,95,29) = ( 42 × 95 × 29 ) / 1

LCM(42,95,29) = 115710 / 1

LCM(42,95,29) = 115710


GCF of Fractions Calculation Examples

Here are some samples of GCF of Fractions calculations.

GCF of Fractions Calculation Examples

Here are some samples of GCF of Fractions calculations.

Frequently Asked Questions on Fractional GCF of 335/42, 412/95, 143/29

1. How to find GCF in Fractions?

Answer: GCF of fractions can be found using the simple formula GCF of Fractions = GCF of Numerators/LCM of Denominators.

2. What is the GCF of Fractions for 335/42, 412/95, 143/29?

Answer: GCF of Numerators as per given numbers 335/42, 412/95, 143/29 is

GCF of Numerators i.e. for 335,412,143 is 1

LCM of denominators i.e. for 42,95,29 is 115710.

Thus, GCF of Fractions is 1/115710.Finally, GCF of Fractions for 335/42, 412/95, 143/29 is 1/115710.